Mathematical modeling for the activation of t-lymphocytes: population balance modeling with non conventional growth law

Abstract : This article focuses on the mathematical modeling techniques applied to the particulate processes in biological sciences particularly Immunology. T-cell activation is studied with respect to their surface protein (CD3) concentration that is described in-terms of two particulate processes, growth and birth processes. The production of new proteins and change in their concentrations (on cells) has created the idea of balance law in the form of hyperbolic problems. In order to add a new dimension to the problem, CPBM (Cell Population Balance Model) is used with respect to multi-proteins concentrations. A mathematical model is used to find analytical solution while Finite volume scheme is used to approximate numerically the solution of PBE (Population Balance Equation) in order to anticipate and analyze the density of activated T-cells according to the given initial protein concentration.
Type de document :
Communication dans un congrès
Raymond Wai Man Lau ; Eldin Wee Chuan Lim ; Rensheng Deng ; Chi-Hwa Wang. 5th Asian Particle Technology Symposium, Jul 2012, Singapour, Singapore. Research Publishing, pp.ISBN = 978-981-07-2518-1, 2012, 〈10.3850/978-981-07-2518-1_195〉
Liste complète des métadonnées

Littérature citée [10 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00721905
Contributeur : Andrée-Aimée Toucas <>
Soumis le : mardi 31 juillet 2012 - 09:46:39
Dernière modification le : mardi 23 octobre 2018 - 14:36:10
Document(s) archivé(s) le : jeudi 1 novembre 2012 - 02:25:37

Fichier

FG-APT5-Orig.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Qasim Ali, Eric Touboul, Frédéric Gruy, Claude Lambert. Mathematical modeling for the activation of t-lymphocytes: population balance modeling with non conventional growth law. Raymond Wai Man Lau ; Eldin Wee Chuan Lim ; Rensheng Deng ; Chi-Hwa Wang. 5th Asian Particle Technology Symposium, Jul 2012, Singapour, Singapore. Research Publishing, pp.ISBN = 978-981-07-2518-1, 2012, 〈10.3850/978-981-07-2518-1_195〉. 〈hal-00721905〉

Partager

Métriques

Consultations de la notice

465

Téléchargements de fichiers

338